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Finding the Fourth Proportional to 5,816.99, 8,725.54 and 1,657

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Solution

The fourth proportional to 5,816.99, 8,725.54 and 1,657 is: 2,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816.99 : 8,725.54 = 1,657 : x
  2. Step 2: Convert to fraction form
    5,816.99/8,725.54 = 1,657/x
  3. Step 3: Cross multiply
    5,816.99x = 8,725.54 × 1,657
  4. Step 4: Simplify right side
    5,816.99x = 14,458,219.78
  5. Step 5: Solve for x
    x = 14,458,219.78/5,816.99
  6. Step 6: Final answer
    x = 2,485.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.